Special birational transformations of projective spaces
Algebraic Geometry
2013-09-13 v2
Abstract
Extending some results of Crauder and Katz, and Ein and Shepherd-Barron on special Cremona transformations, we study birational transformations of the complex projective spaces onto prime Fano manifolds such that the base locus X of the transformations is smooth, irreducible and reduced. We get a complete classification when X has dimension 1, or dimension 2, or codimension 2. We also get partial results when X has dimension 3.
Cite
@article{arxiv.1203.5690,
title = {Special birational transformations of projective spaces},
author = {Alberto Alzati and José Carlos Sierra},
journal= {arXiv preprint arXiv:1203.5690},
year = {2013}
}
Comments
Minor mistake in Theorem 7 corrected, references updated